Alexei is stocking a shelf at the store. The shelf can hold 58 cans, so he can still put 39 cans on the shelf before its full. Create and equation to make sense of the problem and solve it to find out how many cans are already on the shelf.

1 answer

To find out how many cans are already on the shelf, we can use the information given to create an equation.

Let \( x \) be the number of cans already on the shelf.

According to the problem, the shelf can hold a total of 58 cans, and Alexei can still put 39 more cans on the shelf. This means the number of cans already on the shelf plus the number of cans that can still be added equals the total capacity of the shelf.

We can set up the equation as follows:

\[ x + 39 = 58 \]

Now we can solve for \( x \):

  1. Subtract 39 from both sides:

\[ x = 58 - 39 \]

  1. Calculate the right side:

\[ x = 19 \]

Thus, the number of cans already on the shelf is \( \boxed{19} \).